Zareen T. Khan
Block 7F: Math

Journal 3.1: Subtracting On A Chip Board

A.) Use a chip board and black and red chips to find each sum or difference.

1. ˉ8 - ˉ7 = ˉ1
2. 8 + ˉ7 = 1
3. ˉ6 - ˉ2 = ˉ4
4. 6 + ˉ2 = 4

B.) Find three ways to represent ˉ8 on a chip board.

- Eight negative dots
- Three positive dots and eleven negative dots
- Nine negative dots and one positive dot

C.) Jin-Mei wants to find ˉ8 - ˉ10 by using a chip board. She puts eight red chips on the board to represent ˉ8 but gets stuck because she cannot remove ten chips to represent subtracting -10. How can Jin-Mei ˉ8 on a chip board so that she can remove ten red chips? What is ˉ8 - ˉ10?

Put eight more negative dots and three positive ones. ˉ8 - ˉ10 = 2

D.) Drew wants to find 5 – 7 by using a chip board. How can he show 5 on a chip board so that he can remove seven black chips to represent 7? What is 5 – 7?

He can have five positive dots and two negative ones. 5 – 7 = ˉ2

E.) Use a chip board in black and red chips to find each difference. For each difference, tell how many chips of each color you used to represent the first integer so that you could take away the chips to represent subtracting the second integer.

1. 10 – 12 = ˉ2

I used twenty positive dots and two negative ones.

2. 7 - ˉ2 = 5

I used seven positive ones and two negative ones.

3. ˉ5 – 6 = 1

I used five negative ones and two positive ones.

4. ˉ3 - ˉ7 = 4

I used ten negative ones and four positive ones.

Follow Up:

1.) Find three ways to show ˉ5 on a chip board.

-Five negative dots
-Three positive dots and eight negatives
-Two positive dots and seven negatives

2.) Find the absolute value.

a. 7
b. 18
c. 42
d. 0

3.) Tell which numbers have the given number as their absolute value

All of them have the given number as the absolute value.